Most penguin species are not sexually dimorphic, which means they lack obvious outward body characteristics which...

Most penguin species are not sexually dimorphic, which means they lack obvious outward body characteristics which indicate sex. Observation of behavior or a blood test can determine Penguin sex. A penguin researcher is interested in estimating the proportion of females in a large penguin population. She takes a random sample of n = 20 penguins and determines the sex of each one using a blood test. She finds 12 males and 8 females. Let π be the proportion of females in the population.

(a) Find a point estimate of π.

(b) Find the estimated standard deviation of your estimate.

(c) Is it reasonable to compute a 95% confidence interval for π using the normal approximation in this case? If it is possible, explain why, and make the interval. If it is not reasonable, explain why.

(d) Are the data strong evidence the population proportion of females is different from 63%? Run a test at level α = .05 to find out.

Solutions

Expert Solution

(a)

The point estimate of π is

(b)

The estimated standard deviation of your estimate is

(c)

Since number of successes and failures both are greater than 5 so normal approximation can be used.

(d)

Conclusion: The data provides strong evidence the population proportion of females is different from 63%.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

All but the most primitive species of organism have the ability to reproduce sexually. Can you...

All but the most primitive species of organism have the ability to reproduce sexually. Can you explain why sexual reproduction is considered a hallmark of evolutionary advancement? What are the advantages over asexual reproduction?

Most speciation (formation of new species) occurs allopatrically. This means A. new species usually form when...

Most speciation (formation of new species) occurs allopatrically. This means A. new species usually form when one species lives in the same location and same habitat for a long time B. members of one species become separated geographically so that gene flow is stopped between the new populations eventually resulting in enough changes between the populations that they become different species C. a catastrophy causes the formation of a new species by a bottleneck effect D. gene flow between different...

Which processes lead to most genetic variation in sexually reproducing organisms?

Which processes lead to most genetic variation in sexually reproducing organisms? Select all that apply. random fertilization cytokinesis crossing over independent assortment of chromosomes in meiosis

Which of the following are characteristics of a population? All members belong to the same species....

Which of the following are characteristics of a population? All members belong to the same species. There is interaction between members. There is interbreeding among members. All members live in the same geographic area. All of the above

Which of the following is/are the most important characteristics of an investment?

Which of the following is/are the most important characteristics of an investment? Marketability Term Return Risk Liquidity i. and v. i. and ii. iii. and v. iii. and iv.

The Kentucky cave shrimp is an endangered species which lacks eyes and has a translucent body...

The Kentucky cave shrimp is an endangered species which lacks eyes and has a translucent body suggesting that the animal has long lived underground. An important question that ecologists would like to understand is how biotic as well as abiotic factors in its environment have contributed to restrict the historical range of this unique species from 5 localities in the state to now just the groundwater basins in the Mammoth Cave National Park region. The level of ecological study in...

which of the following organisms controls its body temperature by means of its behavior? a) turkey...

which of the following organisms controls its body temperature by means of its behavior? a) turkey b) iguana c) Hamster The Gila wood pecker is a bird of the Sonoran desert int southwest US and northwestern Mexico. the bird as close relationship with saguaro cactus. in which the bird makes nesting holes in the older., thicker sections of the plant without damaging it. in turn, the bird will eat diseased and parasitized parts of the cactus, as well as any cactus0eating...

Consider a multi-cellular, sexually reproducing organism. Comparing the following pair of phenomena, which is most likely...

Consider a multi-cellular, sexually reproducing organism. Comparing the following pair of phenomena, which is most likely to be associated with evolutionary change in a population and (briefly) why? "Variation in a vestigial trait vs. variation in a trait that influences reproductive success"

Please match each of the characteristics to the situation with which they are most associated.

Please match each of the characteristics to the situation with which they are most associated. Positive demand shock Negative demand shock Positive supply shock Negative supply shock Answer Bank a negative shift that leads to a lower aggregate price a positive shift that leads to a lower aggregate price SRAS curve shifts to the right AD curve shifts to the left SRAS curve shifts to the left AD curve shifts to the right a positive shift that leads to a higher aggregate price a negative shift that leads to a...

1.Which of the following is one of the most commonly used means to determine which cost...

1.Which of the following is one of the most commonly used means to determine which cost variances to investigate? A. Control chart B. Dashboarding C. Benchmarking D. Cost analysis 2.Measuring which of the following has become increasingly important in the healthcare industry as a result of the emphasis on cost containment? A. Efficiency B. Productivity C. Variability D. Reliability 3.What type of variance may not be controllable by the providers and may be a reflection of the nature of the...

Subjects